#ifndef ALIMATH_H #define ALIMATH_H /* Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. * * See cxx source for full Copyright notice */ // \$Id\$ #include #include "TObject.h" #include "TF1.h" #include "TString.h" #include "TMath.h" #include "TH1F.h" class AliMath : public TObject { public: AliMath(); // Default constructor virtual ~AliMath(); // Destructor AliMath(const AliMath& m); // Copy constructor Double_t Gamma(Double_t z) const; // Standard gamma function Gamma(z) Double_t Gamma(Double_t a,Double_t x) const; // Incomplete gamma function P(a,x) Double_t LnGamma(Double_t z) const; // Compute ln[Gamma(z)] Double_t Erf(Double_t x) const; // Error function erf(x) Double_t Erfc(Double_t x) const; // Complementary error function erfc(x) Double_t Prob(Double_t chi2,Int_t ndf,Int_t mode=1) const; // Compute Chi-squared probability Double_t BesselI(Int_t n,Double_t x) const; // Compute integer order mod. Bessel function I_n(x) Double_t BesselK(Int_t n,Double_t x) const; // Compute integer order mod. Bessel function K_n(x) TF1 Chi2Dist(Int_t ndf) const; // Provide the Chi-squared distribution function TF1 StudentDist(Double_t ndf) const; // Provide the Student's T distribution function TF1 FratioDist(Int_t ndf1,Int_t ndf2) const; // Provide the Fratio distribution function TF1 BinomialDist(Int_t n,Double_t p) const; // Provide the Binomial distribution function TF1 NegBinomialDist(Int_t k,Double_t p) const; // Provide the Negative Binomial distribution function TF1 PoissonDist(Double_t mu) const; // Provide the Poisson distribution function Double_t Chi2Pvalue(Double_t chi2,Int_t ndf,Int_t sides=0,Int_t sigma=0,Int_t mode=1) const; // Chi-squared P-value Double_t StudentPvalue(Double_t t,Double_t ndf,Int_t sides=0,Int_t sigma=0) const; // Student's P-value Double_t FratioPvalue(Double_t f,Int_t ndf1,Int_t ndf2,Int_t sides=0,Int_t sigma=0) const; // F ratio P-value Double_t BinomialPvalue(Int_t k,Int_t n,Double_t p,Int_t sides=0,Int_t sigma=0,Int_t mode=0) const; // Bin. P-value Double_t PoissonPvalue(Int_t k,Double_t mu,Int_t sides=0,Int_t sigma=0) const; // Poisson P-value Double_t NegBinomialPvalue(Int_t n,Int_t k,Double_t p,Int_t sides=0,Int_t sigma=0,Int_t mode=0) const; // NegBin. P-value Double_t Nfac(Int_t n,Int_t mode=0) const; // Compute n! Double_t LnNfac(Int_t n,Int_t mode=2) const; // Compute ln(n!) Double_t LogNfac(Int_t n,Int_t mode=2) const; // Compute log_10(n!) Double_t PsiValue(Int_t m,Int_t* n,Double_t* p=0,Int_t f=0) const; // Bayesian Psi value of a counting exp. w.r.t. hypothesis Double_t PsiValue(TH1F* his,TH1F* hyp=0,TF1* pdf=0,Int_t f=0) const; // Bayesian Psi value of a counting exp. w.r.t. hypothesis Double_t Chi2Value(Int_t m,Int_t* n,Double_t* p=0,Int_t* ndf=0) const; // Frequentist Chi2 value of a counting exp. w.r.t. hypothesis Double_t Chi2Value(TH1F* his,TH1F* hyp=0,TF1* pdf=0,Int_t* ndf=0) const; // Frequentist Chi2 value of a counting exp. w.r.t. hypothesis protected: Double_t GamSer(Double_t a,Double_t x) const; // Compute P(a,x) via serial representation Double_t GamCf(Double_t a,Double_t x) const; // Compute P(a,x) via continued fractions Double_t BesselI0(Double_t x) const; // Compute modified Bessel function I_0(x) Double_t BesselK0(Double_t x) const; // Compute modified Bessel function K_0(x) Double_t BesselI1(Double_t x) const; // Compute modified Bessel function I_1(x) Double_t BesselK1(Double_t x) const; // Compute modified Bessel function K_1(x) ClassDef(AliMath,7) // Various mathematical tools for physics analysis. }; #endif